Operators of Change of Variables in Weighted Sobolev Spaces on Carnot Groups


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We study mappings inducing bounded composition operators on weighted Sobolev spaces on Carnot groups. We give an analytical description of such mappings in terms of the integrability of weighted distortion function. Bibliography: 17 titles.

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N. Evseev

Novosibirsk State University

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Email: nikita@phys.nsu.ru
俄罗斯联邦, 2, ul. Pirogova, Novosibirsk, 630090

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